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harkovskaia [24]
2 years ago
13

Please Help!! :D Find the value of y.

Mathematics
1 answer:
rjkz [21]2 years ago
4 0

Answer:

y=2\sqrt{2}

Step-by-step explanation:

The Pythagorean theorem is a theorem that can be applied to the sides of a right triangle. Please note that a right angle refers to an angle with a measure of (90) degrees. A box around an angle shows that the angle is a right angle, or has a measure of (90) degrees. The Pythagorean theorem states the following,

a^2+b^2=c^2

Where (a) and (b) are the legs of the triangle, or the side adjacent to the right angle in the right triangle. (c) is the side opposite the right angle, or the hypotenuse of the triangle. One can apply this theorem to the smallest triangle in the diagram to find (y),

a^2+b^2=c^2

Substitute,

(1)^2+(y)^2=(3)^2

Simplify,

(1)^2+(y)^2=(3)^2

1+y^2=9

Inverse operations,

1+y^2=9

y^2=8

y=\sqrt{8}

Take a factor from out of the square root. Remember that a number times itself under the radical is equal to the number. This can be simply stated as the following: (\sqrt{a*a}=a),

y=\sqrt{8}

8=2*2*2

y=\sqrt{8}

y=\sqrt{2*2*2}

y=2\sqrt{2}

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The equation 10x + 5y = 150​
Verdich [7]

Answer:

x = 14.5      y = 1

Step-by-step explanation:

get the x alone by subtracting 5y from both sides

10x + 5y = 150

      - 5y    -5y

10x = -5y + 150

divide both sides by 10

<u>10x</u> = <u>-5y + 150</u>

10            10

x = -0.5y + 15

Now that we've solved for x, we can plug it into the original equation

10 (-0.5y + 15) + 5y = 150

now we solve for y the same way we did x

first distribute 10 into (-0.5y + 15)

-5 + 150 +5y = 150

now we get the y alone

-5 + 150 + 5y = 150

+5  -150            -150 +5

5y = 5

now divide by 5

<u>5y</u> = <u>5</u>

5     5

y = 1

now that we have both x and y, we plug y into our solution for x

x = -0.5y + 15

x = -0.5(1) + 15

x= -0.5 + 15

x = 14.5

4 0
3 years ago
How can I find the y-intercept of 3x-2y≤10?
frosja888 [35]

Answer:

Step-by-step expla3

x − 2 y < 10

Solve for  y .

Tap for more steps...

y > − 5+ 3 x 2

Find the slope and the y-intercept for the boundary line.

Tap for more steps...

Slope:  

3 2

y-intercept:  

( 0 , − 5 )

Graph a dashed line, then shade the area above the boundary line since  

y

is greater than  

− 5 + 3 x 2 . y > − 5 +3 x2

4 0
2 years ago
Select the correct answer.<br> Σ(-)),<br> Which expression gives the same result as t=0
Monica [59]

Answer:

B

Step-by-step explanation:

since 5 is constant so you can take it out from the summation

6 0
3 years ago
Give the equation of the circle centered at the origin and passing through the point (0,3)
rusak2 [61]

Answer:

The equation would be x^2 + y^2 = 9

Step-by-step explanation:

In order to find this, start with the base form of the circle.

(x - h)^2 + (y - k)^2 = r^2

Now we input the center as (h, k).

(x - 0)^2 + (y - 0)^2 = r^2

x^2 + y^2 = r^2

Now we can input the radius of 3 in for r

x^2 + y^2 = 3^2

x^2 + y^2 = 9

5 0
3 years ago
Will give you brain ok big brain
nekit [7.7K]

Answer:

first one

Step-by-step explanation:

he adds 5(7) to his collection then 8(4) too and after wards he throws away 2

5 0
3 years ago
Read 2 more answers
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